oval of Cassini

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oval of Cassini

[′ō·vəl əv kə′sē·nē]
(mathematics)
An ovallike curve similar to a lemniscate obtained as the locus corresponding to a general type of quadratic equation in two variables x and y; it is expressed as [(x + a)2+ y 2] [(x-a)2+ y 2] = k 4, where a and k are constants. Also known as Cassinian oval.
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Gersgorin theorem, Brauer Cassini ovals, nonsingularity results.
6) is determined from [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Cassini ovals.
John, via e-mail In 1680, Giovanni Cassini defined the egg-shaped curve mathematically, which now takes his name and is called the Cassini Oval.